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Finding the Fourth Proportional to 419,905,339.60, 629,858,009.40 and 375,689,448.40

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Solution

The fourth proportional to 419,905,339.60, 629,858,009.40 and 375,689,448.40 is: 563,534,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,905,339.60 : 629,858,009.40 = 375,689,448.40 : x
  2. Step 2: Convert to fraction form
    419,905,339.60/629,858,009.40 = 375,689,448.40/x
  3. Step 3: Cross multiply
    419,905,339.60x = 629,858,009.40 × 375,689,448.40
  4. Step 4: Simplify right side
    419,905,339.60x = 236,631,008,121,808,000
  5. Step 5: Solve for x
    x = 236,631,008,121,808,000/419,905,339.60
  6. Step 6: Final answer
    x = 563,534,172.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.